Journal : Acta Mechanica et Automatica
Article : Minimum energy control of positive time-varying linear systems

Authors :
Bąk, Ł.
Faculty of Mechanical Engineering and Aeronautics, Rzeszow University of Technology, Al. Powstańców Warszawy12, 35-959 Rzeszów, Poland, lbak@prz.edu.pl,
Noga, S.
Faculty of Mechanical Engineering and Aeronautics, Rzeszow University of Technology, Al. Powstańców Warszawy12, 35-959 Rzeszów, Poland, noga@prz.edu.pl,
Stachowicz, F.
Faculty of Mechanical Engineering and Aeronautics, Rzeszow University of Technology, Al. Powstańców Warszawy12, 35-959 Rzeszów, Poland, stafel@prz.edu.pl,
Tesař, V.
Institute of Thermomechanics v.v.i., Academy of Sciences of the Czech Republic, Dolejškova 1402/5, 182 00 Praha 8, Czech Republic, tesar@it.cas.cz,
Czerwiński, E.
Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, ul. Stefanowskiego 1/15, 90-924 Łódź, Poland, ernest.czerwinski@dokt.p.lodz.pl,
Olejnik, P.
Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, ul. Stefanowskiego 1/15, 90-924 Łódź, Poland, pawel.olejnik@p.lodz.pl,
Awrejcewicz, J.
Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, ul. Stefanowskiego 1/15, 90-924 Łódź, Poland, jan.awrejcewicz@p.lodz.pl,
Wudarczyk, S.
Faculty of Mechanical Engineering, Department of Biomedical Engineering, Mechatronics and Theory of Mechanisms, Wroclaw University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland, slawomir.wudarczyk@pwr.edu.pl,
Muraszkowski, A.
Faculty of Mechanical Engineering, Department of Biomedical Engineering, Mechatronics and Theory of Mechanisms, Wroclaw University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland, artur.muraszkowski@pwr.edu.pl,
Lupenko, S.
Ternopil Ivan Pul’uj National Technical University,46001, Ruska str. 56, Ternopil, Ukraine, lupenko@ua.fm,
Lutsyk, N.
Ternopil Ivan Pul’uj National Technical University,46001, Ruska str. 56, Ternopil, Ukraine, lutsyk.nadiia@gmail.com,
Lapusta, Y.
French Institute of Advanced Mechanics, Institut Pascal / UBP / IFMA / CNRS / Clermont Université, BP 265, 63175 Aubière CEDEX, France, yuri.lapusta@ifma.fr,
Kaczorek, T.
Faculty of Electrical Engineering, Bialystok University of Technology, Wiejska 45D, 15-351 Bialystok, Poland , kaczorek@isep.pw.edu.pl,
Abstract : The minimum energy control problem for the positive time-varying linear systems is formulated and solved. Sufficient conditions for the existence of solution to the problem are established. A procedure for solving of the problem is proposed and illustrated by a numerical example.

Keywords : czas ciągły, układ liniowy, przykłady numeryczne, positive, continuous-time, minimum energy control, procedure,
Publishing house : Oficyna Wydawnicza Politechniki Białostockiej
Publication date : 2015
Number : Vol. 9, no. 4
Page : 225 – 228

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DOI :
Qute : Bąk, Ł. ,Noga, S. ,Stachowicz, F. ,Tesař, V. ,Czerwiński, E. ,Olejnik, P. ,Awrejcewicz, J. ,Wudarczyk, S. ,Muraszkowski, A. ,Lupenko, S. ,Lutsyk, N. ,Lapusta, Y. ,Kaczorek, T. ,Kaczorek, T. , Minimum energy control of positive time-varying linear systems. Acta Mechanica et Automatica Vol. 9, no. 4/2015
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